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BSI Workshop: Reading/English/Math PERCENTAGES IN OTHER DISCIPLINES "Come, Watson, come! The game is afoot. Not a word! Into your clothes and come!" BSI Workshop: Mathematics PROBLEM SOLVING INVOLVING PERCENTAGES BSI Workshop: Mathematics WHO ARE THE 99%, 37%, 12%, 0.2%? http://www.youtube.com/watch?feature=player_profilepage&v=k8AkjWQ3P-M BSI Workshop: Mathematics THE STUDY OF PERCENT STARTS WITH FRACTIONS. BSI Workshop: Mathematics Divide region A into two identical sections. BSI Workshop: Mathematics Did you make the following division? BSI Workshop: Mathematics Divide region B into three identical sections. BSI Workshop: Mathematics Did you make the following division? BSI Workshop: Mathematics Divide region C into four identical sections. BSI Workshop: Mathematics That wasn’t so bad. BSI Workshop: Mathematics Divide region D into seven identical sections. BSI Workshop: Mathematics Was your brain on overdrive? BSI Workshop: Mathematics PEOPLE ARE DIFFERENT, BUT SHARE COMMON FEARS. BSI Workshop: Mathematics FOR ME, IT IS SCARY NURSES. BSI Workshop: Mathematics FOR MANY STUDENTS, IT IS MATH and more often than not, we just see the RESULTS. BSI Workshop: Mathematics LET’S ADDRESS BOTH FEARS. SYRINGES COME IN DIFFERENT SIZES. BSI Workshop: Mathematics Find ¾ of 80. THE BASIC IDEA BEHIND FINDING A FRACTIONAL PART OF A QUANTITY IS : 1) FIRST FIND ¼ OF THE QUANTITY. 2) THEN MULTIPLY BY 3. BSI Workshop: Mathematics Find 5/4 of 80. THE CONCEPT REMAINS UNCHANGED EVEN IF THE FRACTION IS IMPROPER : BSI Workshop: Mathematics WHAT IS 92% OF 50? A SYRINGE CONTAINS 50 ML OF MEDICATION OF WHICH 92% IS SALINE. HOW MUCH SALINE SOLUTION IS IN THE SYRINGE? AS DETERMINED BY THE TECHNO-SAVY STUDENT. Percent x Whole = Portion; so 0.92 x 50 = Portion (saline solution) and 0.92 x 50 = 46 ml of saline solution. BSI Workshop: Mathematics MATHEMATICAL SYRINGES IN MATH, ALL SYRINGES ARE PROPORTIONAL. BSI Workshop: Mathematics WHAT IS 92% OF 50? A SYRINGE CONTAINS 50 ML OF MEDICATION OF WHICH 92% IS SALINE. HOW MUCH SALINE SOLUTION IS IN THE SYRINGE? AS DETERMINED BY MATHEMATICAL UNIFORMITY. The two are proportional. If the unknown, N, represents the amount of saline solution, then 46 ml of saline solution BSI Workshop: SADLY, Mathematics CHARLIE BROWN U N D E R S T A ND S P R O P O R T I O N S . BSI Workshop: Mathematics WHAT IS 92% OF 50? ALL THINGS ARE NOT CREATED EQUAL. BSI Workshop: Mathematics WHAT IS 92% OF 50? A SYRINGE CONTAINS 50 ML OF MEDICATION OF WHICH 92% IS SALINE. HOW MUCH SALINE SOLUTION IS IN THE SYRINGE? AS DETERMINED BY THE LOGICAL VISUALISTS. The left side is divided in 100 sections; so divide the right side into 100 sections or 0.50 each, consider 92 sections, totaling 0.50 x 92 equals 46 ml of saline solution. BSI Workshop: Mathematics 48 IS WHAT % OF 60? A SYRINGE CONTAINS 60 ML OF MEDICATION OF WHICH 48 ML IS SALINE. WHAT PERCENT OF THE SYRINGE IS THE SALINE SOLUTION? AS DETERMINED BY THE TECHNO-SAVY STUDENT. Percent x Whole = Portion; so Percent = Portion ÷ Whole Percent = 48 ÷ 60 = 0.80 = 80%. BSI Workshop: Mathematics 48 IS WHAT % OF 60? A SYRINGE CONTAINS 60 ML OF MEDICATION OF WHICH 48 ML IS SALINE. WHAT % OF THE SYRINGE IS SALINE SOLUTION? AS DETERMINED BY MATHEMATICAL UNIFORMITY. If N represents the percentage of saline solution, then 80% saline solution BSI Workshop: Mathematics 48 IS WHAT % OF 60? A SYRINGE CONTAINS 60 ML OF MEDICATION OF WHICH 48 ML IS SALINE. WHAT % OF THE SYRINGE IS SALINE SOLUTION? AS DETERMINED BY THE LOGICAL VISUALISTS. The right side is divided in 60 sections; so divide the left side into 60 sections of 5/3 each, consider 48 sections, totaling 48 x 5/3 or 80% saline solution. BSI Workshop: Mathematics 96% OF WHAT QUANTITY IS 60? A SYRINGE CONTAINS 60 ML OF SALINE SOLUTION WHICH REPRESENTS 96% OF THE MEDICATION. HOW MUCH TOTAL MEDICATION WAS CONTAINED IN THE SYRINGE? AS DETERMINED BY THE TECHNO-SAVY STUDENT. Percent x Whole = Portion; so 0.96 x Whole = 60, and Whole Amount = 60 ÷ 0.96 = 62.5 ml of medication. BSI Workshop: Mathematics 96% OF WHAT QUANTITY IS 60? A SYRINGE CONTAINS 60 ML OF SALINE SOLUTION WHICH REPRESENTS 96% OF THE MEDICATION. HOW MUCH TOTAL MEDICATION WAS CONTAINED IN THE SYRINGE? AS DETERMINED BY MATHEMATICAL UNIFORMITY. If N represents the amount of total medication in the syringe, then 62.5 ml of solution. BSI Workshop: Mathematics 96% OF WHAT QUANTITY IS 60? A SYRINGE CONTAINS 60 ML OF SALINE SOLUTION WHICH REPRESENTS 96% OF THE MEDICATION. AS DETERMINED BY THE LOGICAL VISUALISTS. The left side is divided in 96 sections; so divide the right side into 96 sections of 60/96 = 5/8 each. Now consider 100 such sections 100 x 5/8 or 62.5 ml of medication BSI Workshop: Mathematics TECHNO-SAVY STUDENTS ARE SUCCESSFUL IF THEY HAVE NUMBER SENSE. BSI Workshop: Mathematics NUMBER SENSE IS ALSO A COMMON TRAIT OF SUCCESSFUL STUDENTS WHO VALUE MATHEMATICAL UNIFORMITY. BSI Workshop: Mathematics LOGICAL VISUALISTS HAVE NUMBER SENSE BUT LIVE IN A WORLD FOCUSED ON AUDITORY SEQUENTIAL LEARNERS. BSI Workshop: Mathematics PERCENTAGES ARE A MATTER OF SCALING AND NOT COMPARING. A QUANTITY IS 100% OF ITSELF. STILL, WE HAVE TO RECOGNIZE DIFFERENT LEARNING STYLES. BSI Workshop: Mathematics ADDRESSING BASIC SKILLS AND DEMANDING ANALYSIS AND CRITICAL THINKING WHILE PROVIDING SUPPORT IS NEEDED. Entrepreneurs are resourceful, but … there is no shortcut for “hard work.” BSI Workshop: Mathematics MATHEMATICAL TIME CHECK ANY REQUESTS? BSI Workshop: Mathematics PROBLEM SOLVING W/MATHEMATICAL REASONING A BASIC PERCENT PROBLEM #1 There are 20 workers in the library. 55% of them were males. How many fewer females than males worked in the library? BSI Workshop: Mathematics MATHEMATICAL REASONING APPLIED TO READING/ENGLISH AS STATED, THE CHOICE OF SHERLOCK HOLMES WAS NOT A COINCIDENCE. WHAT WAS HIS 7% SOLUTION? IT IS NOT MY PLACE TO SPOIL A GOOD READ. BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN RETAIL FLORISTRY #2 Fifteen floral displays were to be created of which 12% of the flowers were red roses. Additional displays were requested. The designer wants to reduce the percentage of roses to only 7% by adding other types of flowers and redistribute the roses. How many additional flowers much be added to reduce the percentage of roses? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN CHEMISTRY #3 How much of a 6% solution of an alcohol and water mixture must be added to 20 ml of a 10% alcohol mixture to reduce the percentage of alcohol to 7%? BSI Workshop: Mathematics PROBLEM SOLVING W/MATHEMATICAL REASONING IN ART IT’S BEEN CALLED “THE GOLDEN RATIO” OR “DIVINE PROPORTION” BSI Workshop: Mathematics PROBLEM SOLVING W/MATHEMATICAL REASONING IN ART IT IS “APPROXIMATED” BY RECTANGLES WHOSE SIDES ARE FIBONACCI NUMBERS. #4 WHAT WOULD BE AN APPROXIMATE OF THE DIVINE PROPORTION OR GOLDEN RATIO AS A PERCENTAGE? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN BIOLOGY #5 Mary determined that the population of monarch butterflies at a particular site was 12,000. She estimated that next year there would be a 6% increase. What would be the estimated population of monarch butterflies next year? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN PHYSICS #6 With a 12% increase in velocity, it is now 68 miles per hour. What was the initial velocity? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN SCIENCE, ENGINEERING, AND MATH #7 A rectangular container, 15 cm long and 10 cm wide, contains water to a depth of 4 cm. When a stone of volume 300 cm3 is put in, the water level rises. What was the percent increase in height? (First find the height of the new water level by assuming that the stone is completely under water.) BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN BUSINESS #8 A shopkeeper had 4 handbags which were of the same cost price. He sold 3 of them at 40% more than the cost price. He sold the fourth handbag at cost price. He received a total of $260 altogether. Find the cost price of each handbag. BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN ECONOMICS #9 Sally is given $5 more allowance than Megan each week. They each spend $12 per week and save the rest. When Sally has saved $60, Megan saved $20. What percent of Sally’s allowance did she spend each week? First find out Sally’s allowance. BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN POLITICAL SCIENCE #10 Ali had $130 and his brother had $45. When their mother gave each of them an equal amount of money, Ali had twice as much as his brother. What percent of Ali’s total was her mom’s contribution? (First find out the amount of contribution made by her mother.) BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN ENGLISH AS A SECOND LANGUAGE #11 Read and underline each key word. Draw the illustration of the relationship of the given information, then set out a plan to solve the problem. Fred could not divide the amount of money in his pocket equally among his 4 kids. His wife gave him an additional $3 after which each of his 4 kids received $8. What percent was his wife contribution? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN HOSPITALITY MANAGAGEMENT #12 To plan for next month’s expenses, a restaurateur estimated that he would need a 5% increase from this month cost. Foods cost this month was $12,800 while the beverage costs was 30% of the food costs. What is the estimated cost for both food and beverage next month? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN CHILD DEVELOPMENT #13 According to NIMI, what was the percentage of children affected by autism in 2006? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN ACCOUNTING #14 The Excel spreadsheet did not balance!!! Well, it did, but I am not balanced; that is, it did not match my total of $306.74. What was my percent error? Expense A Expense B Expense C Expense D Expense E $ $ $ $ $ 43.20 25.72 142.13 215.50 11.65 Total $ 438.20 BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN NUTRITIONAL SCIENCE #15 Add up the percentages on the right side of the can. If the total is NOT 100%, explain why ? BSI Workshop: Mathematics BASIC PROBLEM SOLVING W/MATHEMATICAL REASONING PERCENT PROBLEMS IN PHILOSOPHY #16 I walked up a mountain to ask my guru, “What’s the meaning of life?” I had to trek 4 days in snow and rain, dealing with shivering nights and poor terrain. When I got to the top, he was there with the answer. To get the answer, please solve this problem. I started up the mountain at an elevation of 65 feet and reach my teacher sitting at 10, 432 feet above sea level. If on my last day before reaching the top, I climbed 1244 feet, approximately what percent of the elevation was done on the last day? MATHEMATICAL REASONING CONTINUES BUT, BYE FOR NOW, Presented by Karl Ting, Department of Mathematics March 15, 2013 Basil Rathbone and Nigel Bruce Peter Cushing and Nigel Stock Jeremy Brett and Edward Hardwicke Christopher Lee and Patrick MacNee Christopher Plummer and James Mason Nicol Williamson and Robert Duvall Michael Caine and Ben Kingsley Benedict Cumberbatch and Martin Freeman Robert Downey Jr. and Jude Law Jonny Lee Miller and Lucy Liu "Come, Watson, come! The game is afoot. Not a word! Into your clothes and come!“ Who are we? We first see the famous phrase in the Canon in "The Adventure of the Abbey Grange" when Holmes tells Watson: "Come, Watson, come! The game is afoot. Not a word! Into your clothes and come!" The word "game" has two meanings. One is "quarry" or "spoils," and it would be the main meaning in Shakespeare's and Holmes' words. However, the other meaning of "game" is, "a diversion, pastime, or amusement; or a form of mental or physical competitive play, governed by specific rules and testing the skill, endurance, or luck of the participants."